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Finding the Fourth Proportional to 1,589.62, 2,385.89 and 810.18

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Solution

The fourth proportional to 1,589.62, 2,385.89 and 810.18 is: 1,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.62 : 2,385.89 = 810.18 : x
  2. Step 2: Convert to fraction form
    1,589.62/2,385.89 = 810.18/x
  3. Step 3: Cross multiply
    1,589.62x = 2,385.89 × 810.18
  4. Step 4: Simplify right side
    1,589.62x = 1,932,993.44
  5. Step 5: Solve for x
    x = 1,932,993.44/1,589.62
  6. Step 6: Final answer
    x = 1,216.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.